Warm up

Write the explicit formula.

1. -3, 15, -75, 375, …

2. 1, 6, 36, 216, …

3. 16, 6, -4, -14, …

4. 13, 11, 9, 7, …

13 5

n

na

16nna

10 26na n

2 15na n

Coordinate Algebra

UNIT QUESTION: How can we use real-world situations to construct and compare linear and exponential models and solve problems?Standards: MCC9-12.A.REI.10, 11, F.IF.1-7, 9, F.BF.1-3, F.LE.1-3, 5

Today’s Question:How can I tell if an exponential function is a growth or decay curve?Standard: MCC9-12.F.LE.1c

Exponential Transformations

Graphing Exponential Functions

( )x h

f x a b k

Example 1

y = 3x + 2

Domain:

Range:

Asymptote:

Increase/Decrease-6 -4 -2 2 4 6

-4

-2

2

4

6

8

10

Example 2

f(x) = 2x – 1

Domain:

Range:

Asymptote:

Increase/Decrease-6 -4 -2 2 4 6

-4

-2

2

4

6

8

10

Example 3

f(x) = 2x – 1 + 3

Domain:

Range:

Asymptote:

Increase/Decrease-6 -4 -2 2 4 6

-4

-2

2

4

6

8

10

What transformations would be applied to the following?

4) 2xa y 3) 4 7xb y 2) 3 5xc y

Right 4

Right 3, down 7

Reflect across the x, left 2, up 5

Exponential Growth or Decay

Growth or Decay

( )x h

f x a b k

b > 1

0 < b < 1

Neither Growth Nor Decay

Growth, Decay, or Neither?

5

1) ( ) 3 4

22) ( )

5

53) ( )

3

4) ( ) 4 8

5) ( ) 2(8) 16

1 96) ( )

4 2

x

x

x

x

x

x

f x

f x

f x

f x

f x

f x

growth

decay

growth

decay

neither

growth

Graphing Exponential Functions

( )x h

f x a b k

HW worksheet